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Finding the Fourth Proportional to 248,655.20, 372,982.80 and 82,443.20

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Solution

The fourth proportional to 248,655.20, 372,982.80 and 82,443.20 is: 123,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,655.20 : 372,982.80 = 82,443.20 : x
  2. Step 2: Convert to fraction form
    248,655.20/372,982.80 = 82,443.20/x
  3. Step 3: Cross multiply
    248,655.20x = 372,982.80 × 82,443.20
  4. Step 4: Simplify right side
    248,655.20x = 30,749,895,576.96
  5. Step 5: Solve for x
    x = 30,749,895,576.96/248,655.20
  6. Step 6: Final answer
    x = 123,664.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.